Journal
NEURAL NETWORKS
Volume 106, Issue -, Pages 260-270Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2018.06.014
Keywords
Memristive neural networks; Inertial term; Interval uncertain systems; Linear coupling
Funding
- National Natural Science Foundation of China [61603125]
- Australian Research Council [DP120104986]
- China Scholarship Council [201708410029]
- Key Program of He'nan Universities [17A120001]
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This paper is concerned with the synchronization problem for an array of memristive neural networks with inertial term, linear coupling and time-varying delay. Since parameters in the connection weight matrices are state-dependent, that is to say, the connection weight matrices jump in certain intervals, the mathematical model of the coupled inertial memristive neural networks can be considered as an interval parametric uncertain system. Based on the interval parametric uncertainty theory, two different synchronization criteria for memristor-based neural networks are obtained by applying the p-matrix measure (p = 1, 2, infinity, omega), Halanay inequality and constructing suitable Lyapunov-Krasovskii functionals. Two simulation examples with fully-connected and nearest neighboring topology are presented to demonstrate the efficiency of the obtained theoretical results. (c) 2018 Elsevier Ltd. All rights reserved.
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